Sum of Squares & Perfect Square 平方和與完全平方

探討[math]a^2+b^2[/math]與[math](a+b)^2[/math]的關係。 改動[math]a[/math]和[math]b[/math]的值。將面積是[math]a^2[/math]與[math]b^2[/math]的兩個小正方形放入面積是[math](a+b)^2[/math]的大正方形之內。不重疊部分的面積是多少?你能說出[math]a^2+b^2[/math]與[math](a+b)^2[/math]有甚麼關係嗎? Investigate the relationship between [math]a^2+b^2[/math] and [math](a+b)^2[/math]. Adjust the value of [math]a[/math] and [math]b[/math]. Put the two small squares onto the large square. What is the area of the non-overlapping region?See what can you tell about the value of [math]a^2+b^2[/math] and [math](a+b)^2[/math].

 

Alex CHIK

 
Resource Type
Activity
Tags
perfect  square 
Target Group (Age)
11 – 14
Language
English (United Kingdom)
 
 
 
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